(\partial)/(\partial x)(2x^2y+sin(x^2))

Lösung

\frac{\partial}{\partial x} (2 x^{2} y + sin (x^{2}))

4 y x + cos (x^{2}) \cdot 2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{2} y + sin (x^{2}))

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (2 x^{2} y) + \frac{\partial}{\partial x} (sin (x^{2}))

\frac{\partial}{\partial x} (2 x^{2} y) = 4 y x

\frac{\partial}{\partial x} (sin (x^{2})) = cos (x^{2}) \cdot 2 x

= 4 y x + cos (x^{2}) \cdot 2 x

n = 0 \sum \infty \frac{2}{3}

\frac{\partial}{\partial x} (ln (y x))

t an g e n t f (x) = \frac{1}{x}, at x = a

\int 10 w w d w

d er i v a t i v e f (x) = (x + 2) e^{\frac{1}{x}}